Some solutions for n=5
..0..0..0..0..1....0..0..0..1..1....0..0..0..0..0....0..0..0..0..0
..1..2..1..2..0....1..2..1..2..0....1..2..1..2..1....1..2..1..2..1
..0..1..0..0..3....1..0..0..0..3....0..0..0..0..0....0..1..0..2..3
..1..2..1..2..2....3..3..4..1..0....1..2..1..2..1....1..4..4..0..2
..0..2..3..1..0....1..4..5..4..0....0..0..1..0..0....5..5..2..0..1
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